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# Six small eggs weigh the same as five medium eggs. Six medium eggs wei

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Intern
Joined: 08 Feb 2019
Posts: 1
Six small eggs weigh the same as five medium eggs. Six medium eggs wei  [#permalink]

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Updated on: 08 Feb 2019, 23:10
00:00

Difficulty:

25% (medium)

Question Stats:

100% (01:29) correct 0% (00:00) wrong based on 5 sessions

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Six small eggs weigh the same as five medium eggs. Six medium eggs weigh the same as four large eggs. How many small eggs would weigh the same as five large eggs?

A 5
B 6
C 8
D 9
E 12

I have eliminated A, B, and E but am stuck on how to finish. Any help is greatly appreciated.

Thank you

Originally posted by Sboyeff on 08 Feb 2019, 18:54.
Last edited by Bunuel on 08 Feb 2019, 23:10, edited 1 time in total.
Renamed the topic, edited the question, moved to PS and added the OA.
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Six small eggs weigh the same as five medium eggs. Six medium eggs wei  [#permalink]

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08 Feb 2019, 19:33
1
Sboyeff wrote:
I would like some help on how to solve the following

Six small eggs weigh the same as five medium eggs. Six medium eggs weigh the same as four large eggs. How many small eggs would weigh the same as five large eggs?

A 5
B 6
C 8
D 9
E 12

I have eliminated A, B, and E but am stuck on how to finish. Any help is greatly appreciated.

Thank you

Take small, medium and large as s, m and l...
So 6s=5m and 6m=4l...
Now we are looking for a relation between s and l.. so combine the two relations above by making coefficient of m equal..

Coefficient of m is 5 and 6 so multiply by 6 and 5 respectively
6s=5m....6*6s=6*5m....36s=30m
Similarly 6m=4l gives 30m=20l
Thus 36s=30m=20l....that is 36s=20l
Divide by 4 to get 9s=5l
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Re: Six small eggs weigh the same as five medium eggs. Six medium eggs wei  [#permalink]

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08 Feb 2019, 20:03
1
Try to write the equation of what is given

Six small eggs weigh the same as five medium eggs
6s=5m
Six medium eggs weigh the same as four large eggs
6m=4l
How many small eggs would weigh the same as five large eggs? - We need a relationship between s and 5l
6s=5m
m=6s/5
Now 6m=4l
4l=6m=6(6s/5)
4l=36/5s
5l=36/4=9s

Hence D
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Re: Six small eggs weigh the same as five medium eggs. Six medium eggs wei  [#permalink]

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09 Feb 2019, 00:27
1
Sboyeff wrote:
Six small eggs weigh the same as five medium eggs. Six medium eggs weigh the same as four large eggs. How many small eggs would weigh the same as five large eggs?
A 5
B 6
C 8
D 9
E 12

$$6S = 5M$$ and $$6M = 4L$$
$$6S = 5(\frac{4}{6})L$$
$$(\frac{6}{4})6S = 5L$$
$$9S = 5L$$

so D
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Re: Six small eggs weigh the same as five medium eggs. Six medium eggs wei  [#permalink]

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09 Feb 2019, 00:34
1
Sboyeff wrote:
Six small eggs weigh the same as five medium eggs. Six medium eggs weigh the same as four large eggs. How many small eggs would weigh the same as five large eggs?

A 5
B 6
C 8
D 9
E 12

I have eliminated A, B, and E but am stuck on how to finish. Any help is greatly appreciated.

Thank you

6s=5m
6m=4l
s=5 l?
1m=6s/5
6*6s/5=4 L
L= s9/5
so 5 large
L = 9 small
IMO D
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Posts: 3343
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GPA: 3.12
Six small eggs weigh the same as five medium eggs. Six medium eggs wei  [#permalink]

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09 Feb 2019, 00:45
1
Sboyeff wrote:
Six small eggs weigh the same as five medium eggs. Six medium eggs weigh the same as four large eggs. How many small eggs would weigh the same as five large eggs?

A 5
B 6
C 8
D 9
E 12

I have eliminated A, B, and E but am stuck on how to finish. Any help is greatly appreciated.
Thank you

Hey Sboyeff

Welcome to GMATClub!

If we were to write equations for the question, we will end up with 6S = 5M & 6M = 4L

In order to equate the three types of eggs, we will have to multiply the first equation
by 6 and the second equation by 5, making the equations 36S = 30M and 30M = 20L
For every 36S(small eggs) there are 20L(large eggs). Since we have been asked to find
out how many small eggs would be the same as 5 large eggs, we can divide by 4.

Therefore, 9(Option D) small eggs will weight the same as 5 large eggs.

Hope that helps!
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Six small eggs weigh the same as five medium eggs. Six medium eggs wei   [#permalink] 09 Feb 2019, 00:45
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